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Finding the Fourth Proportional to 296.52, 409.38 and 234.60

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Solution

The fourth proportional to 296.52, 409.38 and 234.60 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 409.38 = 234.60 : x
  2. Step 2: Convert to fraction form
    296.52/409.38 = 234.60/x
  3. Step 3: Cross multiply
    296.52x = 409.38 × 234.60
  4. Step 4: Simplify right side
    296.52x = 96,040.55
  5. Step 5: Solve for x
    x = 96,040.55/296.52
  6. Step 6: Final answer
    x = 323.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.